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Cooper 8th Grade Math Semester Review

Total questions: 98

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

Between what 2 whole numbers is 35\sqrt{35}  ?

a)

2 and 3

b)

3 and 4

c)

4 and 5

d)

5 and 6

2.
What type of number is π ?
a)
Rational
b)
Irrational
3.

Irrational numbers...

a)

are non-repeating

b)

are non-terminating and non-repeating decimals

c)

can sometimes be perfect squares

d)

are non-terminating

4.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
5.
All ______ numbers, which include rational and irrational numbers, can be plotted on a number line.
a)
Fake
b)
Non Real
c)
Real
d)
Cool
6.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
7.

The product of two Rational numbers is ________________ Rational.

a)

Always

b)

Sometimes

c)

Never

8.

What does this type of number belong to:

a terminating decimal

a)

Rational Number

b)

Irrational Number

9.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
10.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
12.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
d)
not here
14.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
d)
not here
15.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

16.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
17.

A perfect square is a number whose square root is ___________.

a)

even

b)

a never-ending

(non-terminating) decimal

c)

rational

d)

odd

18.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

19.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
20.

What is 2 cubed?

23

a)

8

b)

6

c)

4

d)

16

21.

Cube root of negative number

a)

Positive

b)

Negative

c)

Can't say

22.

Symbol for "cube root"

a)

∛

b)

\sqrt{ }  

c)

∠\angle  

d)

∑\sum_{ }^{ }  

23.
Which of the following is NOT true of scientific notation?
a)
The number in front must be between 1 and 9.9
b)
The exponent tells you how many times the decimal was moved
c)
It shortens big numbers
d)
It doesn't always contain x10
24.
What does a negative exponent mean in scientific notation? (example:  1.19 x 10-3)
a)
It means the number is very large
b)
It means the number is very small
25.

If a number written in scientific notation has a positive exponent, the number in standard notation will be ____________

a)

Large

b)

Tiny

26.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
27.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

28.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

29.

Solve the following equations.

x−7=8x-7=8  


x= ?x=\ ?  



(a)  

30.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
31.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
32.
What is the definition of a variable?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number with no variable
33.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
34.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
35.

The ______ of a line is a number that measures its "steepness", usually denoted by the letter m.

a)

rise

b)

run

c)

slope

d)

height

36.

Answer the question.

a)

rise

b)

run

c)

slope

d)

height

37.

Identify the slope shown in the graph.

a)

positive slope

b)

negative slope

c)

zero slope

d)

undefined slope

38.

Identify the slope shown in the graph.

a)

positive slope

b)

negative slope

c)

zero slope

d)

undefined slope

39.

Identify the slope shown in the graph.

a)

positive slope

b)

negative slope

c)

zero slope

d)

undefined slope

40.

Identify the slope shown in the graph.

a)

positive slope

b)

negative slope

c)

zero slope

d)

undefined slope

41.

What is the y-intercept of this equation: y=-3x+6?

Write as coordinate points. (No spaces between characters.)

(a)  

42.

What is the slope (gradient) this equation: y=-3x+6?

(No spaces between characters.)

(a)  

43.

Which graph shows the equation: y = -x + 2 ?

a)
b)
c)
d)
44.
Which operation will cancel out multiplication?
a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
45.
What step would you take to solve this equation?
a)
Multiply both sides of the equation by 2
b)
Divide both sides of the equation by 2
c)
Add 2 to both sides of the equation
d)
Subtract 2 from both sides of the equation
46.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
47.

In the expression 3m + 8, the number 3 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

48.

In the expression 3m + 8, the number 8 is called the ____________.

a)

constant

b)

variable

c)

coefficient

d)

answer

49.

A(n) __________ is an equation that forms a line when graphed.

a)

equation

b)

function

c)

relation

d)

linear equation

50.

What is the Standard Form of a linear equation

a)

Ax+By=C

b)

y=mx+b

c)

y-y1 = m(x-x1)

d)

m = (y2-y1)/(x2-x1)

51.

What is Slope-Intercept Form of linear equations?

a)

Ax+By=C

b)

y=mx+b

c)

y-y1=m(x-x1)

d)

m = (y2-y1)/(x2-x1)

52.

The y-intercept is the point where a line crosses the ___________.

a)

x-axis

b)

origin

c)

y-axis

d)

x-intercept

53.

What is the slope in y=mx+b

a)

y

b)

m

c)

x

d)

b

54.

What is the y-intercept in y=mx+b

a)

y

b)

m

c)

x

d)

b

55.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = -3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = -2

d)

a) Slope = -3

b) y-intercept = 2

56.

What does linear mean?

a)

It will form a line

b)

It discovers your lineage

c)

I'm not sure

d)

It will create a shape

57.

Linear relationships on a graph must be in a straight line.

a)

True

b)

False

58.

The equation for a linear relationship is y=mx+b

a)

True

b)

False

59.

The coordinate point for the origin is:

a)

(0 , 0)

b)

(-1, 1)

c)

(10, -10)

60.

A coordinate point is written like:

a)

(y, x)

b)

(x, y)

61.
the number above the fraction bar
a)
mixed number
b)
denominator
c)
numerator
d)
perimeter
62.
the answer to an addition problem
a)
sum
b)
difference
c)
product
d)
quotient
63.
What does INVERSE mean?
a)
the opposite
b)
the same
c)
congruent
d)
different
64.
I know I must __________ if the question asks for the difference.
a)
subtract
b)
add
c)
multiply
d)
divide
65.
All whole numbers and their opposites
a)
Even
b)
Odd
c)
Integer
d)
Composite
66.
Scientific Notation is used...
a)
Only for science experiments
b)
To write really large numbers and really small numbers
67.

Evaluate has the same meaning as:

a)

Solve

b)

Vertical

c)

Equivalent

68.

Equivalent is the same as:

a)

equal

b)

more than

c)

less than

69.

Undefined means:

a)

equal to zero

b)

there is no answer

c)

to find the meaning

70.

An expression...

a)

has an equal sign

b)

does NOT have an equal sign

71.

What is a constant in terms of 3x+2?

a)

3x

b)

x

c)

3

d)

2

72.

The y-axis is...

a)

diagonal

b)

horizontal

c)

vertical

d)

sideways

73.

Which is the x-coordinate in (9,3)

a)

9

b)

,

c)

3

d)

9,3

74.
The point that crosses through the Y-AXIS is called...
a)
y-intercept
b)
non-proportional
c)
origin
d)
table
75.
Another word for slope is....
a)
rate of change
b)
fills the inside
c)
covers the outside
d)
change in size
76.
Question 1
a)
A
b)
B
c)
C
d)
D
e)
E
77.
Question 2
a)
A
b)
B
c)
C
d)
D
e)
E
78.
Question 4
a)
A
b)
B
c)
C
d)
D
e)
E
79.
Question 6
a)
A
b)
B
c)
C
d)
D
e)
E
80.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
81.

Calculate the volume of the sphere. Use π=3.14\pi=3.14 .  Round your answer to the nearest hundredths place.    

a)

v = 50.24 cm3v\ =\ 50.24\ cm^3  

b)

v=100.48 cm3v=100.48\ cm^3  

c)

v=33.49 cm3v=33.49\ cm^3  

d)

v=16.75 cm3v=16.75\ cm^3  

82.

Find the volume of the sphere. Leave your answer in terms of pi.

a)

972π 

b)

729π

c)

108π

d)

2,916π

83.
What shape is this?
a)
Cylinder
b)
Cone
c)
Sphere
84.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
85.
A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.
a)
502.4 in3
b)
167.5 in3
c)
251.2 in3
d)
83.7 in3
86.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
87.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
88.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
89.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
90.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
91.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
92.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
93.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. 
a)
50.24 ft3
b)
150.72 ft3
c)
not here
d)
192.65 ft3
94.
Exact volume =
a)
9π in3
b)
90π in3
c)
282.743π in3
d)
30π in3
95.
Find the volume of the cone.
a)
55.7
b)
200.96
c)
100.5
d)
33.5
96.
Find the volume of the cone.
a)
113.04
b)
37.68
c)
12.56
d)
75.42
97.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
98.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³

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